What is the 5483rd prime number?
The 5483rd prime number is 53819. The next prime is 53831 (a gap of 12) and the one before is 53813.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 5483rd one is 53819.
- 2
53819 is prime because no prime up to ā53819 ā 231.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5483rd prime is close to 5483 Ć ln(5483) ā 47205, and here it is 53819.
- 4
53819 has no twin: neither 53817 nor 53821 is prime.
Primes around the 5483rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5480 | 53783 | 6 |
| 5481 | 53791 | 8 |
| 5482 | 53813 | 22 |
| 5483 | 53819 | 6 |
| 5484 | 53831 | 12 |
| 5485 | 53849 | 18 |
| 5486 | 53857 | 8 |
Questions
What is the 5483rd prime number?
53819.
Which prime number is 53819?
53819 is the 5483rd prime number.
What is the sum of the first 5483 primes?
139,182,508.